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Simplifying 294 = 9x + 13(x + 4) Reorder the terms: 294 = 9x + 13(4 + x) 294 = 9x + (4 * 13 + x * 13) 294 = 9x + (52 + 13x) Reorder the terms: 294 = 52 + 9x + 13x Combine like terms: 9x + 13x = 22x 294 = 52 + 22x Solving 294 = 52 + 22x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-22x' to each side of the equation. 294 + -22x = 52 + 22x + -22x Combine like terms: 22x + -22x = 0 294 + -22x = 52 + 0 294 + -22x = 52 Add '-294' to each side of the equation. 294 + -294 + -22x = 52 + -294 Combine like terms: 294 + -294 = 0 0 + -22x = 52 + -294 -22x = 52 + -294 Combine like terms: 52 + -294 = -242 -22x = -242 Divide each side by '-22'. x = 11 Simplifying x = 11
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